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Embedding Polar Spaces in Absolutes

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Diagram Geometry

Abstract

In Theorems 8.3.16 and 8.4.25, we saw that the most common nondegenerate polar spaces (cf. Definition 7.4.1) of rank at least three are embeddable in a projective space. So, in the continued study of a nondegenerate polar space Z of rank at least three, it is a mild restriction to assume that Z is embedded in a projective space ℙ. Still, the methods used in this chapter only require that the rank of Z be at least two.

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Buekenhout, F., Cohen, A.M. (2013). Embedding Polar Spaces in Absolutes. In: Diagram Geometry. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, vol 57. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34453-4_9

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